{
  "id": "1710.04902",
  "version": "v1",
  "published": "2017-10-13T13:10:39.000Z",
  "updated": "2017-10-13T13:10:39.000Z",
  "title": "Rigidity and geometricity for surface group actions on the circle",
  "authors": [
    "Kathryn Mann",
    "Maxime Wolff"
  ],
  "categories": [
    "math.GT",
    "math.DS"
  ],
  "abstract": "We prove that rigid representations of the fundamental group of a surface into the group of oreintation-preserving homeomorphisms of the circle are geometric, thereby establishing a converse statement of a theorem by the first author.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-13T13:10:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "surface group actions",
      "geometricity",
      "rigid representations",
      "fundamental group",
      "converse statement"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}